I'm pretty sure brass doesn't need a lot of flux unless the part is exceptionally dirty/rusty. I did some experimenting on a throw-away project with only a little flux and no cleanup, and it flowed out fine and displaced the cruft. Type b is pretty good for that.
The guy that posted his brass brazing that he did with silver flux on facebook got a lot of comments about how he overheated the joint, blah, blah, blah. Technically he did, he overheated the flux. And technically correct is the best kind of correct.
My LWS has gotten better over the years, it was mostly that one bad experience. They even replaced an acetylene tank for me because it was leaking, I don't know how. They said it couldn't leak, but bring it back.